论文标题

D型特殊序列的组合学

Combinatorics of Type D Exceptional Sequences

论文作者

Carrick, Emily, Garver, Alexander

论文摘要

特殊序列是代数的表示理论研究中箭话表示的重要序列。它们也与群集代数理论和Coxeter组的组合密切相关。我们结合了D型Dynkin Quivers家族的特殊序列的分类,并展示了我们的特殊序列模型如何连接到D型非交叉分区的组合。

Exceptional sequences are important sequences of quiver representations in the study of representation theory of algebras. They are also closely related to the theory of cluster algebras and the combinatorics of Coxeter groups. We combinatorially classify exceptional sequences of a family of type D Dynkin quivers, and we show how our model for exceptional sequences connects to the combinatorics of type D noncrossing partitions.

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